Generally speaking parole officers are not LEO. They have not attended a police academy. They do not have general powers of arrest. Not all of them are certified by their agency to carry firearms.
That being said, KY state law is where you need to go to find the precise answer to your question. http://www.lrc.ky.gov/KRS/196-00/037.PDF says thatI'm pretty sure that there would be few occassions when a parole officer would be maintaining custody over any prisoner in "schools, day cares, or what nots".While acting for the Department in any capacity entailing the maintainance of custody over any prisoners ....
Are you going to be a PO? Or did some PO tell you that they can carry just because they are a PO?